242406375579648 has 672 divisors, whose sum is σ = 816933562016832. Its totient is φ = 67822446182400.

The previous prime is 242406375579647. The next prime is 242406375579691. The reversal of 242406375579648 is 846975573604242.

242406375579648 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 0 + 6 + 3 + 7 + 5 + 579 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×242406375579648² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242406375579647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14798012418 + ... + 14798028798.

Almost surely, 2^{242406375579648} is an apocalyptic number.

242406375579648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242406375579648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408466781008416).

242406375579648 is an abundant number, since it is smaller than the sum of its proper divisors (574527186437184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242406375579648 is a wasteful number, since it uses less digits than its factorization.

242406375579648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17014 (or 16987 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 72.

The spelling of 242406375579648 in words is "two hundred forty-two trillion, four hundred six billion, three hundred seventy-five million, five hundred seventy-nine thousand, six hundred forty-eight".